Nicola why are you asking this question? Are you unhappy in Sicily? Your life at the moment might seem restricted, and a bit lonely, even though your ex was abusive, some people prefer someone to no one, and that is a dangerous option. Given some time, the future will unfold and look better, and who knows a better life, other relationships, good ones. Another poster said something very sensible I think, and that is don't think that far ahead. As for the other grandparents in the UK, send them photo's but don't tell them where you are living if they don't know, your ex might get hold of the address and you do not want that for yourself or your daughter.
Good luck to you and don't give in to your fear's enjoy the day, each day and being in the midst of your family. As with all families you will most likely have ups and down's, but you are safe, as is your child. Make the most of what you have and that isn't as I am sure you know, always material things.